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Pregled bibliografske jedinice broj: 1029384

Spline-like Chebyshev polynomial model for compressive imaging


Vlašić, Tin; Ralašić, Ivan; Tafro, Azra; Seršić, Damir
Spline-like Chebyshev polynomial model for compressive imaging // Journal of visual communication and image representation, 66 (2020), 102731, 10 doi:10.1016/j.jvcir.2019.102731 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 1029384 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Spline-like Chebyshev polynomial model for compressive imaging

Autori
Vlašić, Tin ; Ralašić, Ivan ; Tafro, Azra ; Seršić, Damir

Izvornik
Journal of visual communication and image representation (1047-3203) 66 (2020); 102731, 10

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
polynomial representation of image ; Chebyshev moments ; Runge phenomenon ; sparse modeling ; compressive sensing ; 2D-imaging

Sažetak
This paper introduces a novel spline-like parametric model for an image representation obtained directly from compressive imaging (CI) measurements. As a representation basis we use Chebyshev polynomials. To avoid common problem of blocking artifacts in block-based reconstruction algorithms, a desired number of derivatives are equated on the block boundaries in a spline-like fashion. This introduces a new set of constraints that fits into CI setup. Unlike splines, the proposed system of equations is underdetermined to provide a necessary degree of freedom for achieving sparsity by solving an l1 optimization problem. Recovered coefficients of the parametric model can be further used for image processing where operations can be elegantly defined and calculated. This offers a new framework for acquisition and processing of analog signals without converting them into samples. Experiments on real measurements show that our model achieves sparse representation without visible blocking artifacts from a reduced set of CI measurements.

Izvorni jezik
Engleski

Znanstvena područja
Elektrotehnika, Računarstvo



POVEZANOST RADA


Projekti:
IP-2014-09-2625 - Iznad Nyquistove granice (BeyondLimit) (Seršić, Damir, HRZZ - 2014-09) ( POIROT)
KK.01.1.1.01.0009 - Napredne metode i tehnologije u znanosti o podatcima i kooperativnim sustavima (EK )
IP-2019-04-6703 - Renesansa teorije uzorkovanja (SamplingRenaissance) (Seršić, Damir, HRZZ - 2019-04) ( POIROT)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Ivan Ralašić (autor)

Avatar Url Azra Tafro (autor)

Avatar Url Damir Seršić (autor)

Avatar Url Tin Vlašić (autor)

Citiraj ovu publikaciju

Vlašić, Tin; Ralašić, Ivan; Tafro, Azra; Seršić, Damir
Spline-like Chebyshev polynomial model for compressive imaging // Journal of visual communication and image representation, 66 (2020), 102731, 10 doi:10.1016/j.jvcir.2019.102731 (međunarodna recenzija, članak, znanstveni)
Vlašić, T., Ralašić, I., Tafro, A. & Seršić, D. (2020) Spline-like Chebyshev polynomial model for compressive imaging. Journal of visual communication and image representation, 66, 102731, 10 doi:10.1016/j.jvcir.2019.102731.
@article{article, year = {2020}, pages = {10}, DOI = {10.1016/j.jvcir.2019.102731}, chapter = {102731}, keywords = {polynomial representation of image, Chebyshev moments, Runge phenomenon, sparse modeling, compressive sensing, 2D-imaging}, journal = {Journal of visual communication and image representation}, doi = {10.1016/j.jvcir.2019.102731}, volume = {66}, issn = {1047-3203}, title = {Spline-like Chebyshev polynomial model for compressive imaging}, keyword = {polynomial representation of image, Chebyshev moments, Runge phenomenon, sparse modeling, compressive sensing, 2D-imaging}, chapternumber = {102731} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


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